5x-(9-2x)*6=5*(5x+12)-4x

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Solution for 5x-(9-2x)*6=5*(5x+12)-4x equation:


Simplifying
5x + -1(9 + -2x) * 6 = 5(5x + 12) + -4x

Reorder the terms for easier multiplication:
5x + -1 * 6(9 + -2x) = 5(5x + 12) + -4x

Multiply -1 * 6
5x + -6(9 + -2x) = 5(5x + 12) + -4x
5x + (9 * -6 + -2x * -6) = 5(5x + 12) + -4x
5x + (-54 + 12x) = 5(5x + 12) + -4x

Reorder the terms:
-54 + 5x + 12x = 5(5x + 12) + -4x

Combine like terms: 5x + 12x = 17x
-54 + 17x = 5(5x + 12) + -4x

Reorder the terms:
-54 + 17x = 5(12 + 5x) + -4x
-54 + 17x = (12 * 5 + 5x * 5) + -4x
-54 + 17x = (60 + 25x) + -4x

Combine like terms: 25x + -4x = 21x
-54 + 17x = 60 + 21x

Solving
-54 + 17x = 60 + 21x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21x' to each side of the equation.
-54 + 17x + -21x = 60 + 21x + -21x

Combine like terms: 17x + -21x = -4x
-54 + -4x = 60 + 21x + -21x

Combine like terms: 21x + -21x = 0
-54 + -4x = 60 + 0
-54 + -4x = 60

Add '54' to each side of the equation.
-54 + 54 + -4x = 60 + 54

Combine like terms: -54 + 54 = 0
0 + -4x = 60 + 54
-4x = 60 + 54

Combine like terms: 60 + 54 = 114
-4x = 114

Divide each side by '-4'.
x = -28.5

Simplifying
x = -28.5

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